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117246464 = 29318389
BaseRepresentation
bin1101111110100…
…00101000000000
322011121201220122
412333100220000
5220003341324
615344555412
72622402266
oct677205000
9264551818
10117246464
1160201005
1233322b68
131b3a180a
1411800436
15a45ea5e
hex6fd0a00

117246464 has 80 divisors (see below), whose sum is σ = 247484160. Its totient is φ = 55418880.

The previous prime is 117246457. The next prime is 117246491. The reversal of 117246464 is 464642711.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1317332 + ... + 1317420.

It is an arithmetic number, because the mean of its divisors is an integer number (3093552).

Almost surely, 2117246464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117246464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123742080).

117246464 is an abundant number, since it is smaller than the sum of its proper divisors (130237696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

117246464 is an frugal number, since it uses more digits than its factorization.

117246464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 205 counting only the distinct ones).

The product of its digits is 32256, while the sum is 35.

The square root of 117246464 is about 10828.0406353135. The cubic root of 117246464 is about 489.4405164974.

The spelling of 117246464 in words is "one hundred seventeen million, two hundred forty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 62 64 83 89 124 128 166 178 248 256 332 356 496 512 664 712 992 1328 1424 1984 2573 2656 2759 2848 3968 5146 5312 5518 5696 7387 7936 10292 10624 11036 11392 14774 15872 20584 21248 22072 22784 29548 41168 42496 44144 45568 59096 82336 88288 118192 164672 176576 228997 236384 329344 353152 457994 472768 658688 706304 915988 945536 1317376 1412608 1831976 1891072 3663952 3782144 7327904 14655808 29311616 58623232 117246464